Pith Number

pith:KQMXEQIF

pith:2025:KQMXEQIFUOPGFVSYLWG7HCAPZW

not attested not anchored not stored refs pending

A point in the interior of the convex hulls

Imre B\'ar\'any, Yun Qi

arxiv:2512.22907 v3 · 2025-12-28 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQMXEQIFUOPGFVSYLWG7HCAPZW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-19T16:12:50.018751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5419724105a39e62d6585d8df3880fcdb086a6a78ea8a4f67d10931efbbe8083

Aliases

arxiv: 2512.22907 · arxiv_version: 2512.22907v3 · doi: 10.48550/arxiv.2512.22907 · pith_short_12: KQMXEQIFUOPG · pith_short_16: KQMXEQIFUOPGFVSY · pith_short_8: KQMXEQIF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KQMXEQIFUOPGFVSYLWG7HCAPZW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5419724105a39e62d6585d8df3880fcdb086a6a78ea8a4f67d10931efbbe8083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e18429d10f205aab09e7502c2fadafcb545d5a44cf1b86ca534e4074dde088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-28T12:29:13Z",
    "title_canon_sha256": "199611e185a97f76e570ba55fc9b779aecc981838f1af026db518c8f576da3a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22907",
    "kind": "arxiv",
    "version": 3
  }
}